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Finding the Fourth Proportional to 12,461.60, 17,188.45 and 7,421.94

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Solution

The fourth proportional to 12,461.60, 17,188.45 and 7,421.94 is: 10,237.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.60 : 17,188.45 = 7,421.94 : x
  2. Step 2: Convert to fraction form
    12,461.60/17,188.45 = 7,421.94/x
  3. Step 3: Cross multiply
    12,461.60x = 17,188.45 × 7,421.94
  4. Step 4: Simplify right side
    12,461.60x = 127,571,626.04
  5. Step 5: Solve for x
    x = 127,571,626.04/12,461.60
  6. Step 6: Final answer
    x = 10,237.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.